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Finding the Fourth Proportional to 920.30, 1,270.01 and 527.33

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Solution

The fourth proportional to 920.30, 1,270.01 and 527.33 is: 727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.30 : 1,270.01 = 527.33 : x
  2. Step 2: Convert to fraction form
    920.30/1,270.01 = 527.33/x
  3. Step 3: Cross multiply
    920.30x = 1,270.01 × 527.33
  4. Step 4: Simplify right side
    920.30x = 669,714.37
  5. Step 5: Solve for x
    x = 669,714.37/920.30
  6. Step 6: Final answer
    x = 727.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.